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A chemist has one solution that is 80% acid and another solution that is 30% acid. How much of the first (80%) solution is needed to make a 400 L solution that is 62% acid?

Verified Answer :

Pulkit

Let x be the quantity of solution one in mixture.
so solution 2 would be (400-x) L

according to ques.
80% of x + 30% of (400-x) = 62% of 400
i.e. 80x/100 + 30(400-x)/100= 62400/100
=> 80x - 30x = 62400 - 30400
=> 50x = 32400
x=256 L
therefore 256L of solution one is required


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